Judging from the pictures, it looks like your Sylvester Palms are healthy. The top growth is nice and green so they appear to be getting excellent nutrition. The bottom of the trees look like a “normal” abnormality of the palm roots growing from higher up the tree. The roots pushing out make it look like there is something wrong, but it is a normal occurrence in many Sylvester Palms. I have three of them and they all have roots like that at the bottom of the tree. I plant flowers and shrubs at the base so it isn’t as noticeable. In my neighborhood many of the more mature Sylvester Palms look like that. If you want a definitive answer you certainly could consult a certified arborist.
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