When the Low pressure area that is now being tracked as 92L first emerged just off the coast it didn't even register with SSD on the Dvorak scale. Since then, it has been up around T1.0 fairly consistently. It is clearly the expert opinion of SSD, then, that this Low has actually improved since fully emerging over water.

The tagging of 92L is not any sort of exception. Waves and other features that are perceived to have decent-enough odds at further organization are routinely tagged before they have amounted to much. Most recently, just last month "91L" was tagged, and was fair example of this. During the first half of June just last year a different African low was tagged "Invest 93L" right as it rolled off the west coast of Africa. There were no calls of NHC "hype" or "caving in to the media hype" back then.

NHC is in and of itself not responsible for whatever some local media outlet does, as that is entirely within their own discretion. It is also probably extremely unlikely that some local Florida TV stations motivated NHC to tag this feature. Had NHC not tagged this feature, I would have been floored.