It's great if he's bathing! Let him bath as often as he wants. It's good that he wants to be clean it shows he's healthy and happy
My IRN likes to have showers with me, he'll sit on a face cloth hung over the shower head while I do my thing, and sit on my shoulder and stick his head under quickly and back out when it's his turn (but i turn the water to just warm, so not too hot for him).. Maybe you could try introducing your lil guy to the shower if he's tame enough? Just try putting him on the shower head for the start so he gets used to the environment... Then he'll become interested in the water... And you can put him on your finger next to the water and see if he wants to try to taste it... (My parrot will even try and get in the sink if i'm washing up! Then I know it's time to get him a bath!)
I have a shallow glass baking dish I bought for him that I fill with luke warm water that he loves to jump in and wet his head and feet etc. It means he gets to enjoy bathing and then doesn't jump in his drinking water... I guess it fills his bathing need! Perhaps giving him another alternative bathing method would help?
But all in all showers and baths are good, and if you find he still wants to sit in his water, let him, just change his water again once he's done

(My IRN gets in the shower with me when I was my hair so every 2-3 days, and gets a bath twice a week (baking dish bath lol)
Hope that helps!!