Is it possible or inappropriate to bring this up to my agent and ask to reach out to the seller and explain the situation and propose a lower offer that I'd feel more comfortable offering if I went through with the deal and ended up losing my job and had to float the mortgage with savings?

The following link from Business Insider discusses proposed relief that AirBNB has asked Congress to implement in light of policy changes they have made impacting property owners revenue. https://www.businessinsider.com/airbnb-asking-congress-give-tax-relief-and-loans-to-hosts-2020-3?

Legislation is the only thing that will save you if you don't have adequate reserves so your state and federal reps are going to be the place to start but keep in mind they are likely flooded with calls at the moment. 

My private lender wants equity in a proposed upcoming flip project.

A couple additional points to mention:There are many rules in the legislation that operators need to follow and/or satisfy.

Make sure you confirm the zoning district of the property and ensure the buyer's proposed use is a permitted use. 

Additionally, there is a lot of differences in legislation and bank practices across states, so I'm hoping to confirm any pros and cons specific to Georgia.Thanks in advance!

And depending on the structure of the loan it may have to go to the government anyways (refinancing same institution SBA debt)The proposal you read about is very interesting however I don’t expect it to pass in that form.

Additionally, there is a lot of differences in legislation and bank practices across states, so I'm hoping to confirm any pros and cons to this strategy.

NARPM (National Association of Residential Property Managers) PA Chapter is sending out call to action for our Senator(Legislative branch) and their Representative(Legislative branch), also to Governor Thomas W.