grammar - Can we optionally include (or exclude) an を particle in between the noun of the する-verb and the する itself?

When we have a する verb (e.g. 支{し}度{たく}する、案{あん}内{ない}する、心{しん}配{ぱい}する), is it true that we could optionally insert an を particle in between the noun and the する?

Because in the example sentences here and here, we can see this usage (the usage of を particle appearing between the noun and the する).

So basically am I right to say that for all する verbs, we can optionally include (or exclude) an を particle in between the noun and the する?

If not, how exactly should we decide whether or not to include that を? I mean I know with a lot of usage we will just know it, but are there any rules that we can apply here?

Answer

Here are the only two exceptions I can think of where you absolutely can't insert "を":

If the construction wasn't based on をする but とする like さっぱりする→◯さっぱりとする　☓さっぱりをする

If the construction is "merged" single character する verbs like 動｛どう｝じる／動ずる、案｛あん｝じる／案ずる、命｛めい｝じる／命ずる、失｛しっ｝する、課｛か｝する、罰｛ばっ｝する etc.

However, it's uncommon to just add を in in many cases - so the result may be awkward if it's without precedent. Basically, adding an を adds emphasis on the noun the verb comes from, rather than the action that する notes. Think of 支度をする and 支度する as "to do preparations" vs. "to prepare" - either sound fine, but 誘{ゆう}拐{かい}をする and T "to do(?) a kidnapping" vs. "to kidnap" It's not exactly like that, but I guess I'm trying to show how some cases like with 誘拐 it would sound awkward.

Also something to note is that if you're adding a "を" for instance with 掃{そう}除{じ}をする. You can't add another "を". 部屋を掃除をする you would write it as 部屋の掃除をする - however this isn't a problem if you've omitted the を. For instance with 子どもを誘拐する. Again, 子どもの誘拐をする would be grammatically "correct" but would sound extremely "off".