At a high level, there are two classes of rearrangement detection. Those relying on copy number, and those relying on breakpoint detection.
Usually people refer to all interspersed duplications as "segmental duplcations"
These are typically called by copy number callers. Such segmental duplication calls make no claim regarding the location in the genome - they could be simple tandem duplication, or they could be interspersed.
motivation for this question: most of the SV calling tools detect tandem duplications, but not interspersed ones
In general, when you talk about SV detection, you're really talking about breakpoint detection. Many (most?) SV calling tools will indeed detect interspersed duplications, they just won't report them as such. Unlike a simple tandem duplication, an interspersed duplication will have two breakpoints. One from the donor site to insertion position, and the other from the end of the donor site to the insertion position (but in the opposite orientation). Any caller that can report inter-chromosomal breakpoints, will be capable of reporting the breakpoints involved in an interspersed duplication. I'm not aware of any SV callers that will classify such events as interspersed duplications - that's typically down by downstream analysis tools that combine the SV calls with CN callers to do rearrangement classification/interpretation. Unfortuantely, there are not many tools that do this well. The best one I know of is LINX^. It's a somatic-only tool but the logic it uses for LINE insertion detection uses the same principles one would use for 'interspersed duplications' in general.
TDLR: SV and CNV callers detect interspersed duplications, they just don't call them that.
^ disclaimer: I'm involved in the development of this tool.
to be honest , I've never heard of calling interspersed duplications as 'segmental duplications'. Just as the name says segmental duplication are duplications of complete segments of the genome (not just a single or few genes). After time these might look like interspersed duplications because many of the duplicate genes in that segment will be 'removed' over time and only a few recognizable ones are kept.
tandems and interspersed duplicated genes are the result of small scale duplications ( a continuous process in any genome ), segmental duplications are large scale (only happen, or at least are 'fixed', once so often in the evolution of a genome)
yeap, sometimes they do =) https://academic.oup.com/bioinformatics/advance-article/doi/10.1093/bioinformatics/btz237/5425335 The problem in SV calling is there is no strict terminology. These guys use the different ideas behind "interspersed segmental duplications". They use the word "segment" to denote the segment, without an assumption on the amount of genes inside this segment...
UPD: I was wrong, they used Chaisson definition of SD https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4745987/ , they are actually assumed as large, whatever it means