For Repetitive Sequences:
Duplications of repetitive DNA (as in replication-slippage) are not "as random" as radioactivity, but still, there is no genetic mechanism that intentionally triggers the duplication of a gene. Also, during replication slippage the site of DNA-pol re-association is random, causing duplications of different lengths. So I'd still call it a change that's both "random" (in terms of sequence) and "non directed" (as in "lacks a direct purpose").
Together, I'd prefer the term "duplication" over "mutation" for the expansion of repetitive/satellite DNA, (while "duplication" is a type of "mutation")
For Transposons:
Your reference cites 'duplicative transposition', and a lot of repetitive DNA originate from transposons (Belyayev 2020). For jumping genes, I would prefer the term „recombination“ instead of "mutation".
The appearance/exchange of specific large sequences is called Recombination.
From Harret & Sherrat 1997:
In bacteria, two categories of specialised recombination promote a variety of DNA rearrangements. Transposition is the process by which genetic elements move between different locations of the genome, whereas site-specific recombination is a reaction in which DNA strands are broken and exchanged at precise positions of two target DNA loci to achieve determined biological function. Both types of recombination are represented by diverse genetic systems which generally encode their own recombination enzymes. These enzymes, generically called transposases and site-specific recombinases […].
Furthermore, so it‘s incorrect to categorize transposons as „non-random“, since they insert mostly at random sites and can cause random DNA-damage next to the excision/insertion site Wicker et al. 2016.
Indeed, the 3,000 bp flanking the excised transposons can contain over 10 times more mutations than the genome-wide average. Since DNA transposons preferably insert near genes, this is correlated with increases in mutation rates in coding sequences and regulatory regions.
In my eyes, a better example of "directed"/"intended" (but random in sense of sequence) mutagenesis would be AID, an enzyme that increases antibody binding variability by intentionally introducing point mutations at very specific and isolated sites inside one gene.