I suppose DMs which allow this also allow cheap rings of true strike and such things too, do they? The pricing rules just don't work in many many cases. I know there are some fixes especially for the true strike example, but still, magic item rules in D&D are a big mess and the formulas should not be followed blindly, in my opinion the pricing of items is downright broken and highly inconsistent.
If you really allow such a ring for only 10000 gold pieces, how can you justify the price for a regeneration ring? I see there a great imbalance.
Also it strikes me as wrong to just think about the value of an item in the context of fights. Items are not automatically useless in non-fighting situations. Items are not only for PCs, other creatures use them too. When allowing new magic items (or finding the right price) one should also account for the impact the item has between encounters, how does it change the world, what impact will it have on the economy, does it causes big shifts in power groups, etc.
And the existence of per-will healing in some splash books should not be taken as a cheap excuse for allowing cheap Thingamabob of Moderate Healing for everyone. Instead such cases should alert everyone. For example a binder able to heal unlimited in a city with conflicting temples can have the potential to cause dramatic changes. Or imagine how valuable such a person would be for parties in a war. You want him either in your army or dead, you would never allow him to be able to help the enemy. I now understand why binders are so shunned and often even hunted down. ;-)
But in the end, of course, it highly depends on the kind of game you play. If you more or less just care about party fighting and not really care about the complicated implications of dropping such bombs into a living ever-changing world with power hungry groups, with wars, economies, churches, etc., then it seems you are fine with unlimited healing (and many other unlimited spells). For example for hack&slay styles, it can be very practical to not have to care about long resting phases between heavy fights, which only slow down your pace.