No coalescence conjecture for image-contractible deformations

Let $f:(\mathbb{C}^n,S)\to(\mathbb{C}^{n+1},0)$ be an $\mathscr{A}$-finite germ, and let $f_t$ be a one-parameter deformation of $f$. The coalescence problem is the simultaneous occurrence of more than one instability and a contractible image of $f_t$.

No coalescence conjecture. The coalescence problem does not occur: a one-parameter deformation $f_t$ cannot have more than one instability and satisfy

$$\operatorname{im} f_t\simeq\left\{*\right\}$$

at the same time.

The claim concerns the coalescence phenomenon for germs from $\mathbb{C}^n$ to $\mathbb{C}^{n+1}$ and is presented as an expected extension of the paper's coalescence results to all $n>2$. Its resolution status is not specified in the source excerpt.