Can I leave tube pedals plugged into the mains, but bypassed when not using?

I did a test running my Jazz bass directly into a Tech 21 Deuce Deluxe (so no added flavor), with the Jester on clean boost. After a couple minutes switching on and off, it seemed that the Jester was taking some of the low end fluff off, just a little bit of the attack edge I love so much. I could be wrong, and I'll try again later. I do already have a Sushi Box More on my regular pedalboard, and that's 2 tubes that do nothing but add thwapp or whatever you want to call it! I leave the Jester for guitar, where it is amazing with the Maiden D preamp.
 
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