Just another one of the very personal variables for each archer.  Personally I don't.  I like a hip quiver.  Every one I've shot made noise.  I've shot some bows with $150 quivers and they make noise.  The arrows are flexible,  the rubber grippers are flexible and it's a mechanical attachment with the possibility for movement.   Movement is noise.
And it's pretty accepted that bow quivers affect the balance of the bow and often the impact point of arrows.  Human arms and hands and hands aren't a shooting machine. 
If it works for you use it. Whether on or off.  Who cares what Fred Bear did for a quiver?

If in a tree stand the quiver goes on a hook as soon as I'm situated. I prefer it off the bow while hunting.

I DO!!!!! 

"Fred Bear showed me how"

I'm not trying to disrespect his way or him.  But I'm not him nor he me.

Actually, I was kidding!!

But truth be told... I started bowhunting during his "Be a 2 Season Hunter" campaign!! (1970's)
"Fred Bear Showed Me How" was advertised everywhere archery equipment was sold.

Yup, old "Papa Bear" showed me how.... Still works for me!! If it ain't broke, don't fix it

I agree completely.

Switched to a safari arrowmaster this year, inwill.be switiching back to a strap on quiver.  As i mainly hunt from a trrestand i usually have something on my back either a stand or a pack, so the arrow master just doesnt seem like it is going to work to well.  I do have plans of getting another bow and will ise the back quiver when using that bow for new ground scout and ground sit missions

Bow quivers seem awkward to me, but each to his own.

I'm a bow quiver guy, going all the way back to the hoodless Kwiki Kwiver but one of the guys in the Trad Gang dvd seems to have had a bow quiver on a strap across his left shoulder & hanging horizontal on his right side.
I'm thinking possibly a lighter 4 or 5 arrow bow quiver & hang a days supply of rovers on my side.  Always something new to try.

No bow quiver has nothing to do with the way I shoot with or without one.
I like side quivers for hunting.

I prefer no quiver on my bow. It feels and shoots better I M O. I have always detached  bow quivers and hung them nearby when on stand. My two biggest issues with bowquivers: some are quite noisy and rattle, when you move your bow you are flashing a quiver full of feathers.

I use a Thunderhorn BOA with with quick mount straps on my longbow. I keep my brace height at the low end, and the quiver really helps to dampen any hand shock.

I just purchased an Eagle's Flight mini max 4 arrow quiver. I really like this super light, minimal quiver. It has nice balance on my light weight 54" longbow.