You don't exactly have that choice to chose between been paid with btc, eth or the native coin/token, whatever the team chose to pay you with is what you will accept, otherwise you can decide not to join at all,
and yes, any alt campaign that is willing to pay with btc knows the value of the coin, also willing to protect the investment of investors by avoiding dump from bounty hunters,
however, not many project are willing to do this, many of them are shady and not ready to support the project long term, so very easy for them to give huge amount to hunters regardless of the negative effect it will have on price.