Mike, I don’t always pay attention but yes, I have the same issue, At first I thought my SteppIR had not finished tuning but I watched it a few times and it had long stopped.? I cant honestly differentiate between modes but I am reasonably sure it’s been CW and FT8 where I noticed the SWR.
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The amp works well for me except it’s the noisiest amp I have owned. The relay for one and the fan is quick to come on ?and ramps to high speed quickly. Cools off quickly too.
Have had my LA-1K about two weeks. Driving it with Icom IC-7700. When keying amp in cw/rtty/digi modes, see large momentary swr spike. Not seen on ssb. Drive power never more than 45 watts. Curious if anyone else seeing this. No other issues. Love the amp.