A datasheet may cover it but that simply means it can be made unity gain stable. But it is not unity gain stable "as it comes".
Externally compensated Op-Amp allow the circuit designer to adjust compensation. In effect they make a part commonly internal accessible external.
And pretty much all opamps can be made UG stable with appropriate external components so your intention here are not clear unless it is to simply antagonise.
Using noise gain manipulation has consequences that adjusting (miller) compensation doesn't have. For one, you only get unity gain at low frequencies.
The two cannot be equated in fundamental circuit operation.
One is the "legit" way to have a part that can have enhanced performance at high gains, that is stable with unity noise gain at all frequencies.
The other is a hack with a fair bit of potential for mischief that needs care, where the part always operates at non unity noise gain at high frequencies.
So, with a 5534 you can have a circuit that directly links out to -in and is stable, with OP37 this is not possible. An OP37 will NEVER operate stable at unity gain, it will ALWAYS have to operate
Ergo,
5534 = unity gain stable (* correctly compensated as per datasheet and intentional by design)
OP37 <> unity gain stable (* and requires an extra resistor in the feedback loop and an RC to a low impedance node to allow unity gain operation at low gains but cannot offer unity gain at high frequencies).
Really simple and very different.
True Unity Gain Stability is very different from faking noise gain.
QED.
Thor