Could you make lacto bacillus innoculant with pure lactose?

I'm interested in Bokashi composting with homemade microbes, so I've been reading about brewing up LAB innoculant. So for instance [https://permies.com/t/21446/Lacto-Bacillus-growing-farm#190751]:

Next, you will want to strain and separate the lacto-bacteria culture. It’s not actually necessary to strain and separate the culture, it just looks better, you can just mix it and the milk together. But, be sure you keep with the 10:1 ratio, which is very important. So, in the 10:1 ratio, or 10 parts milk to 1 part of the lacto-bacteria (you can use any form of milk), put this second culture mixture into a bowl or pail that is large enough, leaving again some air-space, loosely covered from dust/dirt, but able to breathe, in a undisturbed, warm-ish space, for about 7-14 days, again it will depend upon the temperature how fast it will make the second stage ferment.

I don't have animals to milk, so I'd have to buy milk for this at the store, and good quality milk is really expensive.

Since the LAB are eating the lactose in milk to do their thing, I was wondering if one could feed them pure lactose, which can be bought online fairly cheaply, and avoid the need for milk. Maybe this wouldn't be the healthiest thing to eat, but would it work for composting?