There are not going to be any hydraulic problems with the pump at min/max diameter, the only negative consequence will be possible limitation of your ability to re-rate the pump in the future, for a single stage pump without additional impeller designs that fit the same case.
How do you think minimum and maximum diameters are determined by the pump manufacturer? Do the vendors say "let's set the minimum and maximum diameters just outside the safe range for hydraulic design, just to trick people who don't put a clause in their spec to stay 5% or more away from these max/min values" ?
The intent of a spec imposed limit is to provide a margin of error for system design, in case the conditions need to be modified without having to change pump selection. If there are options other than impeller diameter (different hydraulic, additional stages, VFD overspeed) then you need to look closely before arbitrarily rejecting selections at max/min diameters.
I will say, you want to confirm that the NPSHr is adjusted based on impeller diameter for small impellers. At the same flow, a smaller impeller's NPSHr will increase a small amount. This is partially due to how NPSHr is measured (3% head drop at 100 ft is 3 ft, 3% head drop at 66 ft is only 2 ft) and partially due to the reduced BEP flow of the trimmed impeller. But the selection software should take this into account, and it is more of a system issue than a "hydraulic problem" with the pump.
The pump vendor will not sell you a pump with unacceptable impeller diameter at the conditions you specify. If you need additional flexibility, check all of these cases and ensure your selection can accommodate worst case or future scenarios.