In your case trekking poles are a bad idea in my opinion.
For hiking they are rather useless unless you really want to walk straight through middle sized streams. I personally can't imagine any other situation that could cause me to carry such stuff around
Look at the usual contracted dimensions, take two sticks in that length from the next hedge, try to attach that convincing to your motorbike. Imagine afterwards a traffic accident with lowest speed, and forget the idea!
There are folding tarp poles on the market, Luxe Outdoor for example offers such but surely others as well, that have shorter sections and these you can get
into your motorbike bags.
I personally wouldn't do also that in your situation.
Your Akto is a stand alone solution that serves well in every situation. If there is no bush, tree, lamp or fence to attach tarp or poncho I would simply just do with the Akto or if hiking in the summer perhaps even just with the bivvy bag.
But although I don't know Britain very well I assume that you have a lot of walls with some kind of hooks, bushes, trees, lamp masts and fences on your island, that offer in 99,9 % of all cases the option to pitch minimum a plough point shelter that needs only one mast and three tent stakes on the ground.
You attach to a steel mast on a camping ground for example the tip of the plough point shelter with the clove hitch.
It works at trees too of course but isn't really needed because the bark isn't as slippery as a steel pole.
With your 2,5 mm cords you should end the knot with an additional quick release loop -as always (!)- to be able to open that afterwards. If you can't imagine the quick release loop at the knot I will send you a photo, just ask!
The short sectioned tarp poles might be an option on the motor bike. But I wouldn't carry them around on the back.
It's idiotic to spend that much money for lightweight equipment and to throw afterwards unneeded heavy stuff into the rucksack, just for very rare occasions. Or did you become much taller and stronger during the last winter?
If you are hiking you simply watch out for a tree or something else that you can use for your camp. Should you hike in areas where are no trees you take the Akto.
A tarp and aluminium poles are nearly as heavy as the Akto but if there are no trees you have to expect stronger wind and the Akto is the better idea in that case anyway. That's why you bought it.
The tarp poles would only serve for comfort glamping in the rare occasions when you can't find an already standing pole but want the additional large roof during the day or evening.
I would rather risk that I sometimes can't find it than transporting additional poles, but others may take them perhaps.
Usually you find some branches or something that you can use for that purpose. Only on touristic camping grounds you sometimes don't find it, but there you also can ask the captain and he surely can borrow you something, for example long handled garden tools or whatever.
But such problems I got perhaps in 1% of all cases, especially when the camping ground was full and no choices left.
Otherwise I simply take the place at the tree, hedge, lamp or fence.
There is a lot of stuff on the market that you could buy. But you can't carry that all.
The lighter your rucksack the nicer will be your hike!
I recommend to leave these poles where they are, take the money and spend the evening in a nice Taiwanese restaurant.