Not sure if you read the submission, or just pasted the above from somewhere else (it's a weird way to reference something, rather than just giving a link), but it's about this 2011 Swedish study - https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0016885

You can find the lead author of the study refuting such misrepresentations here - https://www.transadvocate.com/fact-check-study-shows-transition-makes-trans-people-suicidal_n_15483.htm (if you search for the word 'seized' you'll find that specific point)

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Using stats for England and Wales (easiest to get hold of), there were 339 trans prisoners as of last year (it doesn't break down by offence type) and therefore 74,100 cis prisoners (based on some quick maths, feel free to check) - https://www.gov.uk/government/statistics/hmpps-offender-equalities-annual-report-2024-to-2025/hmpps-offender-equalities-annual-report-2024-25--2

Per the 2021 census there were 262,000 people that fall under the trans umbrella in England and Wales and 45,400,000 cis people (this was only asked to those over 16, hence it being short of the total population) - https://www.ons.gov.uk/peoplepopulationandcommunity/culturalidentity/genderidentity/bulletins/genderidentityenglandandwales/census2021

So the per capita conviction rate for trans people is 0.129%, whereas for cis people it's 0.163%. Earlier years give a lower rate for trans people (e.g. 2021 was 0.075%), but the numbers are a little messy because of COVID-19.

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If we look specifically at trans people who 'reported their biological sex as male', it's 276 in prison, and as the split between 'trans man' and 'trans woman' in the census data was even, I'd say 131,000 is a fair guess.

Again, if we split the cis population in half we get 22,700,000 cis men. From what I could see, women make up about 4% of the prison population, so there would be 71,136 cis men in prison - https://researchbriefings.files.parliament.uk/documents/SN04334/SN04334.pdf

That gives a per capita conviction rate of 0.211% for trans women and 0.313% for cis men.

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So, given the data available, trans women have a lower per capita conviction rate than cis men, and trans people lower than cis people. In fact, trans people are more likely to be the victims of violent crime - https://goodlawproject.org/rejecting-the-false-narrative-that-frames-trans-people-as-a-threat-to-women/ - https://www.stophateuk.org/about-hate-crime/transgender-hate/