Graduate school admission advantage if offering instrument time
That might certainly catch my eye if I read your application, but I'm not sure how much weight it would carry. I would be a bit nervous offering it quid pro quo - that seems to get into a dangerous or at least gray area in the vicinity of a bribe for admission.

My suggestion, if you include such information, would be to limit your disclosure to a demonstration of your commitment to the topic of interest, or to talk about ways you have already used the equipment for outreach purposes to demonstrate your value to the community as an emerging scholar - and not as a condition on accepting your application.

The problem is the perception, and whether you offer it directly or not you could be perceived as trying to sway the admissions committee. For example, a police officer has some leeway in choosing whether to cite you or not; offering the officer $100 is going to get you in trouble, whether you say "I will give you $100 if you let me go" or if you say "Hey I just wanted to let you know how much I care about police officers in general, so I am going to put this $100 on your car, you can take it if you want."

Your situation is different because the legality is much less clear than the example I just gave, but I would be uncomfortable accepting a student who wouldn't normally meet the expectations of the university because they were offering the use of some equipment.