after splitting big parts, they are played slow on my TV

I am using mp4Splitter. If the result is small video file(s), all is ok.
But when I try to split large video files in less than 4 GB chunks (for FAT32, in my TV, it doesn't use NTFS or eXFat), my Philips TV is playing the parts at ~ half speed (and the sound is jerky).

On PC the parts are played fine.
If I try 2X speed from the TV Remote, it is played at true 2X speed.

I have installed the latest firmware on my TV, no change. Also, other mp4 files close to 4 GB are been played without problems on the TV.
The problem could be from my TV but I doubt anyone would modify its firmware to fix this problem.

Something weird: if I cut the original files they lose a few percents of their size when I split them.
This is independent from the lost size in, for example, not saving a portion of video file on purpose.
Its like it removes some internal data ordinary users are not aware of it.
If I try to split the video file again, it's not losing size again.

The TV model is 32PHT4201/12.
You can test this issue with any mp4 video file (for example with the fresh ones from web cams).

Any thoughts? I mean besides me buying a new (expensive) TV.