Alright, what if...?
We get rid of the chemfridge instead. Or rather, merge it with the chem dispenser.
Add a button to the chem dispenser that allows you to move reagents from the beaker INTO the dispenser, creating a new button for that reagent, with a limited amount of reagent.
Depending on complexity, could have it so that you can only put isolated reagents into the dispenser. Or that you can put 'mixed' reagents into the dispenser (but that could end up resulting in having hundreds of 'buttons' with only like, 5 units of some useless chemical.)
This would change the meta a bit, causing the early part of a round to being mass producing 'intermediate' chemicals like oil and ash, so that you could more easily work with the tertiary chemicals. It would reduce the repetitive grinding while still keeping the same complexity and tier system that's intended.
This could also be a big QoL improvement compared to jugging a dozen or so beakers of random whatever or bottles in the fridge anytime you want to make something.
Finally, as an optional side-note: This could be set up so that you start with a limited quantity of certain chemicals that might need to be restocked.

It might show up something like this, where you would transfer 30u of oil back into the machine to be used later.
Yes, i am aware that this makes the other chem machine (whatever its called again) slightly redundant. If you REALLY care about that, it wouldn't be hard to impose restrictions on it, or make one of the machines more effective at one task than the other.
Lets be honest, though. The chem dispenser is primarily used for "MIXING" chemicals as well as dispensing them. The other machine is really only ever used if you fuck up, or if you're turning it into a pill/bottle and naming it, nobody actually wants to use it for mixing.