Does reading the Book of Exalted Deeds prevent casting non-upcast 5th-level spells into a Ring of Spell Storing?

The Ring of Spell Storing states (emphasis mine):

This ring stores spells cast into it, holding them until the attuned wearer uses them. The ring can store up to 5 levels worth of spells at a time. When found, it contains 1d6 − 1 levels of stored spells chosen by the GM.

Any creature can cast a spell of 1st through 5th level into the ring by touching the ring as the spell is cast. The spell has no effect, other than to be stored in the ring. If the ring can’t hold the spell, the spell is expended without effect. The level of the slot used to cast the spell determines how much space it uses.

While wearing this ring, you can cast any spell stored in it. The spell uses the slot level, spell save DC, spell attack bonus, and spellcasting ability of the original caster, but is otherwise treated as if you cast the spell. The spell cast from the ring is no longer stored in it, freeing up space.

The Book of Exalted Deeds states:

[…] Once you’ve read and studied the book, any spell slot you expend to cast a cleric or paladin spell counts as a spell slot of one level higher. […]

Thus, any 5th-level spell cast using a 5th-level spell slot would count as using a 6th-level spell slot, which cannot be stored into a Ring of Spell Storing. Is this correct? Is there some rule I’ve missed or way around this besides ending the benefits from the Book?