Having done both, the DAW is so much better. You don’t lose any of what the keys can do sound wise and you can do so much more in the DAW.
Daws are great if you have loads of time at home before a gig to setup your songs on a synth. Doing it on a synth on the fly is a pain; so I can see the merit of doing it in your studio or at home. The same thing can be done for arrangers, but it is just easier and quick ( and on the fly) to do it on the board and save it, done. Pick it out later and adjust with the band if required. You can't do that with a DAW, you are stuck with what you have til you get back to your studio. But, yes you can fine tune things and get it up to recording standards, if that is what you want.
Also, extra cost of usually having to get a MAC to run most popular DAWS as well is a pain if you are PC based.
Say, for example a lot of churches use Mainstage in their music setup for the keyboard ( midi controller or synth) cost of Mainstage is so low it's great, and great to use, but you have to spend big to buy a MAC to run it, fully. That's ok if the church pays for it, but here the keyboard player is the one that forks out the $$'s. Again the setup has to be done well before the day. Yes you can setup standard templets, if you don't want to change anything, but....no imagination is allowed then.