Telling apart home theatre vs component car drivers

I got a unbranded 6.5" woofers labeled "home theatre oem replacement midrange woofers" from a local electronic repair shop. $23 each came in 4 or 8 ohm. 2weeks later I saw woofers are also sold as replacement cars woofers (only difference was that it was sold as a pair and came with some mounting brackers) .


Most sources say not to use car parts in home speakers and vice versa... How can I tell if these are actually car or home speakers ?
At this price point, is there even a difference between component car vs stereo vs home theatre woofers, tweeters, etc. ? (t/s parameters seems similar)


checking Parts Express to see other options, the budget options there have the same issue.
ie Pyramid Pyramid W64 6.5" Midbass Woofers Some sites use them in home cabinets, more often they're used as car speakers.
They have 6.5" stock woofers that come in Dayton B652 for $7 are these actually going to sound better in home theatre build than $50 car midrange. woofers?
 
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