for many washings my first concern would be the strength of the outer material.
Commercial beds with the option to wash have removable covers.
My second concern would be if the bed would ever completely dry? I'm 71 and I can still smell in my mind how my teddy bear smelled after mother washed it... sour and mouldy.
Method of washing comes to mind also, is this for a small dog bed? Picturing mine, it would need to be washed with a pile of towels or blankets because it would knock the washer out of level.
Then... I sound like Debbie Downer, I apologize, but I volunteered at our shelter for 4 years and the scrap filled pet beds go to the landfill. Most pet shelters run on a shoestring so they just have standard washers and dryers, they will not take the weight of pet beds. Towels are one of the best gifts you can give a shelter if you have extra, they are used and used and used
I hope that helps, and I'm sorry to sound so negative to your thoughtful idea.