I'd deprime them, since you seem to be pretty close to a maximum load with 4.4 gr of HP-38 (or possibly even over max). The difference between a magnum primer and a regular primer might be enough to make things go sideways.
Looking at a couple different sources, here's what I found:
Hodgdon web site:
125 gr lead bullet (LCN): 3.9 - 4.4 gr of HP-38
Lee Second Edition:
124 grain lead bullet: 3.3 - 4.0 gr of W231 (widely considered to be the same as HP-38)
Speer #13:
125 gr LRN: 3.9 - 4.2 gr of HP-38
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