Chris, you seem to have an impedance obsession!
The only way to really answer your question is to poll every speaker manufacturer out there and ask if they made some type of compromise in their design regarding impedance. Some may have, many probably have not. Many won't tell you one way or the other as they regard their design efforts as proprietary work.
The error in your proposition is your statement:
Impedance is only one part of a complex set of issues. It may have nothing to do with a particular design's sonic goals. Or, it could even hinder achieving an important goal in a particular design. For example, low impedance draws lots of current. Current generates heat in a voice coil and that heat can damage or destroy a driver. So, in some designs, a low impedance could reduce the effective dynamic range. Many people regard improved dynamic range as sonically better than impaired dynamic range. In this "for example" the speaker may well perform better if the impedance is not low!
You need to get this one-note samba out of your head. Impedance is only one fact of many, many technical issues in a speaker design. You get a good speaker only when ALL of them are well coordinated toward the design goal.
The only way to really answer your question is to poll every speaker manufacturer out there and ask if they made some type of compromise in their design regarding impedance. Some may have, many probably have not. Many won't tell you one way or the other as they regard their design efforts as proprietary work.
The error in your proposition is your statement:
...even if they know a low impedance design would be better instead sonically
Impedance is only one part of a complex set of issues. It may have nothing to do with a particular design's sonic goals. Or, it could even hinder achieving an important goal in a particular design. For example, low impedance draws lots of current. Current generates heat in a voice coil and that heat can damage or destroy a driver. So, in some designs, a low impedance could reduce the effective dynamic range. Many people regard improved dynamic range as sonically better than impaired dynamic range. In this "for example" the speaker may well perform better if the impedance is not low!
You need to get this one-note samba out of your head. Impedance is only one fact of many, many technical issues in a speaker design. You get a good speaker only when ALL of them are well coordinated toward the design goal.