Probably. Eventually. In the meantime, you've suffered a degraded play experience for X sessions, and if the DM is not very experienced, X may be large. And then the DM may not correctly identify the cause of the problem, or may not come up with a workable solution.
I don't think it's wise to expect DMs to be rules-hackers or to manage balance between classes. Most DMs are not good at these things, and they shouldn't have to be. If the rules do not smoothly accommodate modes of play that are common at many, many tables, that is a problem for the designers to address.
The alternative resting schemes presented in the DMG seem like a nod to that, but they are not well-thought-out; a lot of spell durations are predicated on the assumption that you get a long rest every 24 hours. And they don't address the needs of groups who like nightly long rests but struggle with getting their short rests in. The "5-minute short rests, capped at 2/day" house rule solves the problem neatly and simply, and I have yet to discover any down sides.