In a recent study (Meyer-Grant & Klauer, 2022, Memory & Cognition, advance online publication), we reported results from a recognition memory experiment using a detection plus identification paradigm in which two items are simultaneously presented during each test trial. One of the key observations was an impairment of identification performance when new items instead of old items were defined as targets to be detected and identified. We have argued that this challenges the notion that the subjective mnemonic information underlying recognition decisions does not change depending on the status of the target being probed (i.e., on whether old or new items are considered targets), which is also known as the target-probe invariance assumption. As a side-effect of this finding, a critical test of ROC asymmetry conducted by Kellen et al. (2021, Psychological Review, 128[6], 1022--1050) is questioned inasmuch as a violation of target-probe invariance provides an alternative interpretation of effects observed with this test. In response to this, Kellen and Singmann (2022, unpublished manuscript) suggest an alternative explanation of our findings in terms of an occasional guessing process. If true, this would allow one to retain the target-probe invariance assumption and in consequence, Kellen et al.'s interpretation of their results as evidence in favor of ROC asymmetry. Kellen and Singmann also review other pieces of evidence for ROC asymmetry in the context of recognition memory. Here, we discuss limitations of these pieces of evidence, highlighting the need for additional evidence such as provided by Kellen et al.'s critical test. We also point out that merely proposing an alternative explanation is not yet sufficient to invalidate our concerns about this critical test. To enable a more conclusive resolution of this issue, we conducted further analyses of our previously published data and a new experiment. Overall, the results indicate that identification responses in our original study may indeed have been contaminated by occasional guessing, thus rehabilitating the target-probe invariance assumption as well as Kellen et al.'s critical test of ROC asymmetry.