"You’re not working for equity — you are giving up equity." Bingo.
The waters get muddied because of how VCs operate. VCs want to take 50 shots, or whatever, and make their money on the 1 that hits. That works for them but doesn't exactly work for founders since founders don't get 50 bites at the apple. In that scenario it makes sense for founders to take some money off the table so that if things go bad it's not a total loss.
Understandably VCs don't really want to do that. They want you to take their money to grow the business.