SDA Bypass caps and other snakeoil remedies....

having inherited a set of polk Sda 1b's, I decided to optimize.
I am a full-range guy at heart, the simpler the x over the better...
Everything I have read about the 1b x-over says that the bypass caps are not needed,
The explanation I remember is that the modern 4.7uf cap is "fast enough".
Is not the speed of the cap tied to the voltage frequency or the audio frequency?
To my understanding the signal is going around the cap,not thru it.
I am by no means an expert, I have a Electronics home study course by Heath, with the
breadboard,,,,a raw beginner at 71.
Even though i have been tinkering for 56 of these 71 years.
Just wondering.....thanks for comments.....
to bypas or not to bypass....
 
That is the schema, but a picture of the actual XO is what we want to see, but Mylar is a cheap plastic cap.

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dave