Nothing you can do but stop, reverse the engine to unwind the weeds, or stop and manually clear them, and then carry on. Avoid the mats as best you can.
As for your observation that other boaters seemingly have less problems, it could be they are running with more trim. Also, the well may be somehow helping the weeds collect, versus other boats, most of which have no well.
Kevin
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There are two kinds of boaters: those who have run aground, and those who lie about it.