Polished limecrete floor? Does it need sealing?

Hi all,
we couldn't find any info on polishing a limecrete slab as a finished floor.
We have built a cob summer house in the UK as a practice run for building a cob house.  (We couldnt wait the length of time it would take to do and dry/seal an eathern floor) so instead decided (after already putting a hard-core base down for the earthen floor) to put limecrete down instead.... there was only space for about 60mm thick. The mix was between wet and dry (not tampable, not pour-able).
We then smothed it repeatedly with a plastering trowle over the next 3 days... after leaving it to dry for 2 weeks, we are now buffing/polishing it. I just can't find any info on why this is or isn't advised as a finished floor.

Really, because we have committed to it, my main question is, how do I make the most of what we have made? How do I protect it?  do I need to seal it? And what would you recommend I seal it with?
 (It still needs to be breathable)

Not too familiar with limecrete floors, but always curious about anything related to concrete, plaster, etc. A quick search found this:

https://www.lime.org.uk/applications/retrofit-insulation-systems-for-old-buildings/sublimer-limecrete-floor-insulation-system/breathable-sealants.html

I hope this helps, and keep us updated!

Thank you. We had some linseed, and since we are short on time, my partner decided to give it a try. I'll up date with the results in a few days, and again in a couple of weeks. We only had enough for one coat. I have no idea how it will take since its not an earthen floor, so it may take longer to dry, or may not even dry at all. We will see. The summer house is a practice for a self build house, so at least we are getting to see what works and what doesn't. But I'll still love to hear people's idea on this subject, their thoughts and recommendations.

The floor wasn't fully level/flat so the polishing is 'hit and miss' but I still like it, I prefer the colour and variation to an earthan floor actually.

When working with this type of material you need to make time and not be rushing.
I notice that within 10 hours of asking a question you had already experimented, I try never to rush things for what ever reason.
I hope to hear more about it.

Yeah.... we expected the project to take ALOT less time to build than it has. We are at a point of "this needs to be finished now" and also my partner isn't good at waiting. He's a try first, then see what happens kind of person. We are definitely learning alot about project fatigue, and time expectation VS reality....

Update.

So we couldn't find very much information on limecrete at all as a floor.

The person above was very right, we jumped in too ever.
Once we thought the floor was dry. (After a week or 2 of laying it in a very cold and soggy England at the time) the floor had set, but wasn't dry. We put linseed oil on it, and it essentially sweated it all out. We had to clean it all up a week later.
So we learned that things like cob, and limecrete take much longer to fully dry. Cob can take 1-2 years to dry, so we were foolish to think the floor would have dried in such weather at a speed that only cement sets in.

6 months down the line we still have a couple of small patches in the main room that are still darker/not dry, and the whole of the bathroom is still darker. (It has no heat sorce in there so will take much longer?

The patches wax and wain, so we think it's actually some damp coming up through the floor. We only did about 15cm of drainage insulation under the floor and there's no guttering, which I belive adds to the water in the floor (although we have a gravel rubble trench with a tail off at one end for any ground water to run away from the building....

The floor it's self it of course softer than concrete, but it's so beautiful with its light earthy tone. Not sterile white like the lime was on the wall. And after it was polished it looks so nice. It doesn't have the insane shine of concrete, although this could have potentially been achieved with more polishing.

We absolutely love it.
It has chipped in places with the kids dropping and breaking stuff in there, but I don't see that as an issue, anymore than I would a dent or chip in a wooden floor.

We have unfortunately moved from that property now so we only manages to monitor it for 6 months. But all in all the entire cob build and experience was amazing. Our finished article is beautiful.