the creep scaling exponent and $\eta=U_{c} H_{\mathrm{crit}}^{\mu}/k_{B}T$ where $U_{c}$ is an energy scaling constant and $H_{\mathrm{crit}}$ the critical magnetic field [@Lemerle1998; @Kim2009]. Following Ref. [@Kim2009], $U_{c}$ is related to $\xi$ (the correlation length of the pinning potential) and to the Larkin length $L_{c}=(\sigma_{\mathrm{DW}}^{2}t^{2} \xi^{2}/\gamma)^{1/3}$ (the characteristic length of rigid microscopic DW segments) and $H_{\mathrm{crit}}=\sigma_{\mathrm{DW}}\xi/M_{s}L_{c}^{2}$ where $\sigma_{\mathrm{DW}}$ is the DW energy and $\gamma$ is the pinning strength of the disorder. By assuming that neither $\xi$ nor $\gamma$ are modified by $H_{x}$, Je *et al.* [@Je2013] conclude that the shape of $v(H_{x})$ is solely due to the in-plane field dependence of the DW energy. According to [@Pizzini2014], the energy of a DDW, taking into account the modification of the DW profile with $H_x$ reads: $$\label{full-DW-profile}
\sigma=\sigma_{00}[\sqrt{1-h^{2}}+(h+\frac{2}{\pi}\frac{D}{D_{c0}}) (\arcsin h \mp \pi/2)].$$ where $\sigma_{00}=4\sqrt{AK_{0}}$ is the DW energy at rest, $D_{c0} = 4 \sqrt{A K_0}/\pi \equiv \sigma_{00}/\pi$ gives the onset of magnetisation cycloids, $h= H_x / H_{K0}$ and the $\mp$ signs refer to the DW having its magnetisation parallel/antiparallel to the $H_x$ field. The energies of the DW favoured/unfavoured by the in-plane field are the same when $h=-(2/\pi) (D/D_{c0})$ or when $H_{x}= -D/(\mu_{0}M_{s}\Delta)$ = -$H_{\mathrm{DMI}}$. This is the in-plane field for which the DW 