The link doesn't show me what you intend for it to show for some reason (Edit: it may be lemmy or my app, it is inserting a "registered trademark" symbol in place of the string reg). But here:
Robbery (2003-2017) – https://www.theglobaleconomy.com/rankings/robery/Europe/ Notice robbery is higher in Western/Northern European countries, notably Denmark, Finland, Sweden, Germany, Netherlands, compared to most Eastern European countries. Some outliers like Norway.
Larceny ("Theft"), Robbery, Rape, Assault (compiled from Eurostat 2018-2020) – https://www.eupedia.com/europe/crime_maps_of_europe.shtml for theft, robbery, and rape, western European countries lead by a long shot with an obvious extreme spike in Nordic countries. Burgalary is more of a mixed bag, with northern Europe and France/Belgium/Netherlands/Switzerland/Austria/northern Italy doing pretty god-awful, compared to just Slovenia/Croatia/Bosnia/Hungary doing poorly. Eastern European countries have much lower rates of assault than Germany, Italy, France (with the excetion of Hungary) but comparable to the rest of Europe. Homicide would seem more common in non-EU eastern/southern European countries + Romania&Bulgaria however.
Homicide (2021) – https://www.statista.com/statistics/1268504/homicide-rate-europe-country/ this suggests eastern/western doesn't have noticeable impact on murder, and most EU/associated countries form a relatively steady progression, with the exceptions of Finland, Albania, Montenegro, and the Baltics which are higher – with Sweden and France being the next highest of course.
The website you referenced also seems to give total crime overall (not specific crimes) to be mostly unrelated to geography in the relevant countries it has data for, with France, Belgium, and Sweden having the most. numbeo
Generally it seems like the statistics agree with me, although the amount of things that compare specifically theft between European countries is surprisingly little. And I'm mostly emphasizing theft since that has a clear correlation with highly capitalism-centric economies.
To clarify terminology, when I speak of "eastern Europe" I generally am referring to the UN Statistics geoscheme plus Croatia and Albania, in EU or EU association. I feel that is generally the best definition to work with and encompasses what most people think of "eastern Europeans" in this kind of context (but I'm sure some people think of eastern Europe as Serbia, Moldova, Ukraine, or the Baltics instead). And of course "northern Europe" is Scandinavia + Finland, "western Europe" is anything that lies east of Czechia + northern Europe (not the UK though). Slovenia is kind of impossible to label as one so I won't argue for any categorization but most western Europeans would probably place it in "eastern" if they had to choose between that and "western" due to being post-communist & Slavic-language speaking.