I agree with everything you said. And I very much like saying, “I’ll sign today for ________________.” I’ve found that to be very effective as well. Also never had any luck w/ PTO negotiations but like you said they are a nice thing to ask for to give the other party something to “win” on.

But my point was if you are in a situation where losing the offer is disastrous (you’re not working and running low on funds, for example) then in my opinion you should just take the offer. Because even though the risk of an offer getting revoked is low, it’s not zero.