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Toolstation ony appear to stock the 'White',
although Soudal manufacture Black, Grey, Alu Grey, Brown & Beige,
which may be available from other suppliers.
The Tech data sheet does ask for a minimum of 2mm width 'for bonding'
and 5mm 'for joints'.
How little is your 'little movement'?
I ask as 1mm is 'little' and easily accomodated by sealant in a 5mm wide joint.
1mm movement in a 2mm wide joint is likely to result in failure,
either cohesively or more likely adhesively, whichever sealant you use.
The Toolstation adjacent item 61252, Fix All Crystal
is a 'Clear' sealant based upon the same Soudal SMX polymer, if you require clear.
No-one has time to find the correct primers for long term adhesion,
for two such different materials, (hard?) wood and aluminium?
Therefore you need an elastic sealant, (not 'caulking', please @withered_preacher),
with good wear and tear resistance, great unprimed adhesion and UV resistance.
Good tear resistance rules out (cartridge/ single component) Silicones.
Good wear resistance rules out oil-based mastics and acrylics.
Domestic situation requiring quick skinning/cure time rules out polysulphides.
Want to support a firm that supports your hobby?
Soudal Fix All High Tack, item no. 84704 £6.38 from Toolstation
who are operating 'Click'n'Collect' from your local store.
Just note recommended joint dimensions for long term durability,
and,
leave a concave surface to your bead of sealant.
Editted to add link to Soudal website page for Tech data.