It is good you want to get the rotted foam out. No it doesn't cover the center hole.

The foam is for noise reduction and it doesn't need to be replaced.

Take the cover off, scrape off as much as possible and then try using the 3M Adhesive Remover.

Haasman

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'03 E320 Wagon-Sold
'95 E320 Wagon-Went to Ex
'93 190E 2.6-Wrecked
'91 300E-Went to Ex
'65 911 Coupe (#302580)