Um, no, actually...under the designations commonly used,
as each Destroyer displaces over 3,000, the tenders, minelayers and mine detonators which are specifically mentioned as being earmarked for Sealion range from 1,800 to 7,500 t.
Um, no, actually...under the designations commonly used, any warship of more than 3,000 tons displacement was a cruiser, not a destroyer, espoecially if armed with a main battery greater than 5 inch/127 mm weapons (see HNMS
Tromp for an example), and I would be very surprised if any of the KM's actual destroyers had standard displacements of more than 3,000 tons.
Tenders and mine warfare vessels (with the limited exception of the built for the purpose ocean-going minelayers like HMS
Abdiel or USS
Terror) were generally not regarded as warships, since they tended to be converted merchant ships, or based on merchantile designs. They were generally regarded as auxiliaries, along with oilers, transports, and the like...hence the "AM" hull designations in the USN, for example, for minesweepers.
If one really wants to suggest a cross-channel steamer refitted as the equivalent of one of the RN's ocean boarding vessels, or an passenger-cargo ship refitted as the equivalent of one of the RN's armed merchant cruisers, was a warship, one can - but it basically begs the issue of why the RN equivalents would not be considered in the mix as well.
And it avoids the fact that such merchantile conversions were, basically, unfit to meet any sort of designed for the purpose warship; my favorite example is the action of the IJN merchant cruisers
Aikoku Maru and
Hokoku Maru against HMIS
Bengal and the tanker
Ondina.
Another example is the fact that even a merchant freighter with a naval armed guard party, if handled well by her merchant marine crew, could defeat an armed merchant cruiser (with consort) with a naval crew; favorite example there is the SS
Stephen Hopkins against the KM merchant cruiser
Steier and oiler
Tannenfels.
Bottom line, there's a reason armed merchantmen have not been considered the equal of a warship since the 1500s...
They aren't.
Best,