Is this really a synchromesh transmission? (tractor)

Factual Questions
1

Here’s a warning from the manual for my new tractor, about using the “shuttle shift” shift lever on the manual transmission, which is claimed to be synchromesh:

*NOTICE: Do not attempt to operate the shuttle lever while the tractor is moving, it may cause damage to the synchromesh gear. The clutch pedal must be depressed and tractor motion stopped to operate the shuttle lever.
*
My understanding is that “synchromesh” is a feature in some transmissions that brings the rotating parts to the same speed before allowing their splines to come together, so it doesn’t grind and doesn’t need double clutching. I’ve driven manual cars most of my life, from the one I learned on what did not have any synchromesh, through several that had a few synchros but not on all gears (for example reverse and maybe first wouldn’t have one), to the one I have now in which all gears including reverse are synchromesh.

This tractor has six gear shift levers, not all that uncommon on a tractor. The rest of them say they are not synchromesh. This includes a four speed stick, a three range stick, a 2WD/4WD stick, a PTO shift, a differential lock (which admittedly is a bit different), and the shuttle shift. A shuttle shift switches between forward and reverse, with neutral in the middle. It’s likely to get used a whole lot in front end loader work, twice in every loading cycle, so it make sense to give it a synchro if you’re going to give anything one.

I don’t want to mess it up so I’m not violating the rule, or at least hardly any - and if I’m moving a little bit, I get a little bit of grinding.

So, how is this really a synchromesh shifter?

The tractor’s a New Holland WM25.

2

I believe the earliest automatic transmissions were actually “semi-automatic” where you had to use the clutch for some actions, but not others. There was AMC’s E-Stick.
Wiki says.

3

I know nothing about tractors, or your tractor, but by definition there is no reason why it shouldn’t be synchromesh. That is, there is no reason why it shouldn’t be a constant-mesh gear system, engaged by an internal dog-clutch mechanism. Having syncromesh will help you find the gear, which can be hard to do when wheels and gearbox are stopped and not lined up.

And if it is synchromesh, making too much demand will destroy the dog-clutch mechanism. Don’t try to shift it into forward/reverse while going reverse/forward: it isn’t tough enough to handle that.

4

In all fairness, that doesn’t sound like the spirit of shuttle shift from a consumer’s perspective. Technically, if you synchromesh some gears, you have synchromesh, but the whole thing sounds misleading, because we’re talking about shuttle shift, too.

Shuttle shift is supposed to let you work forward/reverse motions fluidly with just a lever action or a flick of a pedal. A hallmark of modern tractors that bounce forward/reverse continually without pausing, clutching, moving lever, working pedals and changing directions, only to repeat the whole procedure hundreds of times per day. Doesn’t sound shuttle shifty to me.

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