What if no rubber mounts for wiper motor

[fun in dirt]

Working on a friends junker ‘86 that wipers are not working on...
The fuse was missing so replaced that & they cycled 1 time, slowly then turned switch (in column) on then quit. The white wire was hot with key on & others ground when switch moves hi/low. I then noticed it had no rubber mounts, just bolted straight into the firewall ... would that cause a problem w motor??? Wondering if that would make it all ground all the time & maybe smoked the motor???
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