I missed this the first time around, but...
YES. One hundred times yes.
Merseyrail is only good for people living in the north of Liverpool or along the river. (I won't speak for the Wirral since I don't live there.) Anywhere else, it's useless. The suburbs are incredibly disconnected not only from Town, but from themselves. Its intercity service is good for Southport northward (north bias again) but for some reason Wigan eastward and Warrington southward (kind of) are excluded despite being similar distances.
Electrifying the Lime Street to Bank Quay (lower) route via Fiddler's Ferry is perhaps the most obvious addition to Merseyrail and it's shocking people talk about it like it's pie-in-the-sky stuff. The line via Speke and Sefton Park are sorely missing services, and the tracks and half of the OLE are already in place!! The Loop Line via Gateacre is the second most obvious, since a "main line" loop connecting most of the city and bringing services to the currently car-dependant suburbs is a HUGE deal. Statistics of rail usage per borough (?) show this without a shadow of a doubt.
Source: LCR's 2023 Long Term Rail Strategy.
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Look how much blue there is in the eastern suburbs!
This question itself astounds me. I'm genuinely gobsmacked knowing how little Merseyrail has kept up with our transport needs, while this question still keeps being asked.
Of course it needs expanding!!!